44 citations · 218 across the 75 of their papers we have counts for
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Multiple solutions to a semilinear elliptic equation with a sharp change of sign in the nonlinearity
Mónica Clapp, Angela Pistoia, Alberto Saldaña
We consider a nonautonomous semilinear elliptic problem where the power nonlinearity is multiplied by a discontinuous coefficient that equals one inside a bounded open set and…
Bubble solution for the critical Hartree equation in pierced domain
Marco Ghimenti, Xiaomeng Huang, Angela Pistoia
In this article, we establish the existence of solutions to the following critical Hartree equation \begin{align*} \begin{cases} -Δu=\left(\int_{Ω_\varepsilon}\frac{u^{2_μ^*}}{|x-y…
On a critical Hamiltonian system with Neumann boundary conditions
Angela Pistoia, Delia Schiera
We consider the Hamiltonian system with Neumann boundary conditions: \[ -Δu + μu=v^{q }, \quad -Δv+ μv=u^{p} \quad \text{ in }, \qquad u, v >0 \quad \text{ in ,} \qquad \part…
Non-degeneracy of the bubble in a fractional and singular 1D Liouville equation
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia +1
We prove the non-degeneracy of solutions to a fractional and singular Liouville equation defined on the whole real line in presence of a singular term. We use conformal transformat…
A note on the persistence of multiplicity of eigenvalues of fractional Laplacian under perturbations
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
We consider the eigenvalues problem for the the fractional Laplacian in a bounded domain Omega with Dirichlet boundary condition. A recent result by Fall, Ghimenti, Micheletti and…